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Finding the Fourth Proportional to 10,676.58, 15,994.05 and 6,506.25

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Solution

The fourth proportional to 10,676.58, 15,994.05 and 6,506.25 is: 9,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.58 : 15,994.05 = 6,506.25 : x
  2. Step 2: Convert to fraction form
    10,676.58/15,994.05 = 6,506.25/x
  3. Step 3: Cross multiply
    10,676.58x = 15,994.05 × 6,506.25
  4. Step 4: Simplify right side
    10,676.58x = 104,061,287.81
  5. Step 5: Solve for x
    x = 104,061,287.81/10,676.58
  6. Step 6: Final answer
    x = 9,746.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.